Participants demonstrating in vivo a significant increase in the resting CD4+ T cell- associated HIV RNA (RCVL) after the single dose of VOR (protocol v3.0 and v5.0) are eligible to advance into Step 2. In Step 2 (protocol v5.0), participants are administered multiple doses of VOR. Each participant receives 22 total doses of VOR via 2 cycles of 11 doses each. Each cycle is 4 weeks in length. VOR 400 mg is administered on Monday, Tuesday and Wednesday followed by 4 days of no drug during the 1st 3 weeks. The 4th week of the cycle will have VOR administered on Monday and Tuesday, followed by a leukapheresis approximately 4 hours after the 11th dose (estimated peak drug level). Participants will be monitored throughout the 4 weeks for safety which includes the documentation of AEs, especially dose-limiting AEs, and other AEs associated with study procedures and events. After a rest period (approximately 5 - 8 weeks), participants repeat the 4 week cycle. Each cycle is analyzed for significant increase in resting CD4+ T cell- associated HIV RNA (RCVL) as compared to baseline (ex-vivo) and step 1 (single dose in-vivo) responses.